Kevin plans to put concrete on a rectangular portion of his driveway. The portion is 10 feet long and 3 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Kevin needs is $72.59. Which of the following is closest to the width of the portion of the driveway on which Kevin plans to put concrete? [1 foot = 12 inches; 1 yard = 3 feet] 3 feet 6 feet 8 feet 10 feet
@mathstudent55
I Pick A
@peachpi
@paki
I'm not getting that. What did you do?
Idk I Trying to understand i dont need an answer i just need understanding
ok well to start with, all your numbers are in different units, so you need to convert everything to the same unit. Since all the answers are in feet, convert cubic yards to cubic feet and inches to feet. Using the conversion factors in the problem. How many feet are 3 inches?
1 yard
0.25 sorry
right, so the depth is 0.25 ft. Now convert the $/cubic yards to $/cubic ft. 1 yard = 3 ft, so for volume (1 yd)³ = (3 ft)³, meaning 1 yd³ = 27 ft³ So instead of $98/yd³ the price is $98/27 ft³
and you divide that right?
total price = unit price * volume \[$72.59 = \frac{$98}{27 ft³}(10 ft)(0.25 ft)*w\] solve for w
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